575314078667328 has 5040 divisors, whose sum is σ = 2479889595456000. Its totient is φ = 126180517478400.

The previous prime is 575314078667303. The next prime is 575314078667333. The reversal of 575314078667328 is 823766870413575.

575314078667328 is a `hidden beast` number, since 5 + 7 + 53 + 1 + 407 + 86 + 6 + 73 + 28 = 666.

It is a super-2 number, since 2×575314078667328² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1281323114848 + ... + 1281323115296.

It is an arithmetic number, because the mean of its divisors is an integer number (492041586400).

Almost surely, 2^{575314078667328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575314078667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239944797728000).

575314078667328 is an abundant number, since it is smaller than the sum of its proper divisors (1904575516788672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

575314078667328 is a wasteful number, since it uses less digits than its factorization.

575314078667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 575314078667328 in words is "five hundred seventy-five trillion, three hundred fourteen billion, seventy-eight million, six hundred sixty-seven thousand, three hundred twenty-eight".